Using a bridge-building context, students explore the links between spatial and number patterns, tables of values, graphs and rules expressed in words or as algebraic formulae.
Teacher notes
- Animations show bridges with increasing numbers of spans being constructed. Students identify how many beams are required for the bridges of different sizes (number of sections) and different types of sections.
- The results are represented on a graph.
- Assist students to identify and use the characteristics of linear number patterns.
- Students construct algebraic rules, stepping beyond additive approaches and interpretations of the patterns to more sophisticated multiplicative and algebraic strategies. The complexity of the formulae ranges from multiplicative (y = mx ) to algebraic (y = mx + c) forms.
- The learning objects progressively increase in difficulty.
Learning objects
Bridge builder: triangles 1 | |
> | Bridge builder: triangles 2 |
> | Bridge builder: quadrilaterals |
> | Bridge builder: complex squares |
> | Bridge builder: complex pentagons |